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Lecture 11
B. Zwiebach March 17, 2016
Contents
1 The Infinite Square Well 1
2 The Finite Square Well 4
1 The Infinite Square Well
In our last lecture we examined the quantum wavefunction of a particle moving in a circle. Here we introduce another instructive toy model, the infinite square well potential. This forces a particle to live on an interval of the real line, the interval conventionally chosen to be x ∈2 [0, a]. At the ends 0 and a of the interval there are hard walls that prevent the particle from going to x > a and x < 0. The potential is defined as follows and shown in figure 1. ( 0 , 0